1.

~ (p ∨ q) ∨ (~p ∧ q) is logically equivalent to (A) ~p (B) p (C) q (D) ~q

Answer»

Correct option: (A) ~p 

~ (p ∨ q) ∨ (~p ∧ q)

≡ (~p ∧ ~q) ∨ (~p ∧ q)

≡ ~p ∧(~q ∨ q)

≡ ~p ∧ T

≡ ~p



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